Use the properties of the derivative to find 
given the following vector-valued functions.
Definitions:
Firm's Goals
The specific objectives that a company aims to achieve, which guide its operational and strategic decisions.
Customer's Needs
The desires or requirements that customers expect to be fulfilled by a product or service, influencing their purchasing decisions.
Customer Acquisition
The process of bringing new customers to a business through various marketing strategies and efforts.
Profitability
The ability of a business to earn a profit, which occurs when revenues exceed the costs and expenses involved in operating the business.
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